Prove that (1+cosθ)(1−cosθ)=(sin^2)θ

ossidianaZ 2021-08-16 Answered

Prove that \(\displaystyle{\left({1}+ \cos{\theta}\right)}{\left({1}- \cos{\theta}\right)}={{\sin}^{2}\theta}\)

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Expert Answer

Macsen Nixon
Answered 2021-08-17 Author has 13809 answers

We have to prove that \((1+\cosθ)(1−\cosθ)=\sin^2θ\)

Let us start from left hand side. By using the identity \(a^2−b^2=(a+b)(a−b)\) we get \((1+\cosθ)(1−\cosθ)=1−\cos^2(θ) =\sin^2θ\)

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